On divisibility by primes in columns of character tables of symmetric groups

2019/02/07 by Morotti, Lucia
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1902.02625

Abstract

For an arbitrary prime p we prove that the proportion of entries divisible by p in certain columns of the character table of the symmetric group S_n tends to 1 as n→∞. This is done by finding lower bounds on the number of k-cores, for k large enough with respect to n.

Related

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• On even entries in the character table of the symmetric group
• Lower Bound for The Number of Zeros in The Character Table of The Symmetric Group
• Note on parity and the irreducible characters of the symmetric group
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